length n = 54
dimension k = 3
alphabet length q = 5

minimum distance d = 43

generator matrix:

0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
0	1	0	1	1	1	1	1	1	0	0	1	0	1	0	2	0	2	0	3	0	3	0	4	0	4	1	1	2	1	2	1	3	1	3	1	4	1	4	2	2	3	2	3	2	4	2	4	3	3	4	3	4	4
1	0	1	0	1	2	3	2	3	0	1	0	1	0	2	0	2	0	3	0	3	0	4	0	4	0	1	2	1	2	1	3	1	3	1	4	1	4	1	2	3	2	3	2	4	2	4	2	3	4	3	4	3	4

projective group of automorphisms generated by:

1	0	0
0	0	1
0	1	0

1	0	0
0	0	1
0	1	0